A study by a reputable research organization found that when presented with prin

Question

A study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 92% of the time. In contrast, a novice will correctly identify the match 75% of the time. Consider a sample of seven different pairs of fingerprints, where each pair is a match. Complete parts a and b below.

A -What is the probability that an expert will correctly identify the match in all seven pairs of fingerprints?

B- What is the probability that an novice will correctly identify the match in all seven pairs of fingerprints?

Round to 4 decimal places if needed

Explanation / Answer

Since each attempt of matching the fingerprint with individual is independent.

The number of pairs are 7.

Part A) So the probability that the expert will identify every pair correctly is

= 0.92 * 0.92 * 0.92 * 0.92 * 0.92 * 0.92 *0.92= 0.927 = 0.5578

Part B) And the probability that the novice will identify every pair correctly is 0.757 =0.1335

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.